Finding the Third Proportional to 17,514 and 27,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,514 : 27,853.50 = 27,853.50 : x
2. Step 2: Convert to fraction form
   17,514/27,853.50 = 27,853.50/x
3. Step 3: Cross multiply
   17,514x = 27,853.50 × 27,853.50
4. Step 4: Simplify right side
   17,514x = 775,817,462.25
5. Step 5: Solve for x
   x = 775,817,462.25/17,514
6. Step 6: Final answer
   x = 44,296.99